BEC dark matter, Zeldovich approximation and generalized Burgers equation

TL;DR

This paper explores how a Bose-Einstein condensate dark matter model naturally leads to the adhesion model, Burgers equation, and KPZ equation, providing a theoretical foundation for these heuristic tools in cosmology.

Contribution

It establishes a theoretical connection between BEC dark matter and the mathematical models used to describe structure formation in the universe.

Findings

BEC dark matter justifies the adhesion model and Burgers equation

Generalization of the KPZ equation in cosmological context

Provides a theoretical basis for heuristic cosmological models

Abstract

If the dark matter in the universe is a self-gravitating Bose-Einstein condensate (BEC) with quartic self-interaction described by the Gross-Pitaevskii-Poisson system, the adhesion model, the Burgers equation and the cosmological Kardar-Parisi-Zhang (KPZ) equation that have been introduced heuristically to solve the problems inherent to cold dark matter (CDM) models find a natural justification and an interesting generalization.